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Finding the Fourth Proportional to 457,370.16, 686,683.66 and 232,881.45

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Solution

The fourth proportional to 457,370.16, 686,683.66 and 232,881.45 is: 349,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,370.16 : 686,683.66 = 232,881.45 : x
  2. Step 2: Convert to fraction form
    457,370.16/686,683.66 = 232,881.45/x
  3. Step 3: Cross multiply
    457,370.16x = 686,683.66 × 232,881.45
  4. Step 4: Simplify right side
    457,370.16x = 159,915,886,432.11
  5. Step 5: Solve for x
    x = 159,915,886,432.11/457,370.16
  6. Step 6: Final answer
    x = 349,642.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.